This Philco radio is correct for the time period I'm just not sure if it would be or is correct for the 36-37 Cord 810 etc. I've looked for pictures but all I can find is the Auburn radio head not the box.

Although it’s not mentioned in the service literature, I’m certain that these radios were made by Crosley. The radio model numbers match Crosley numbers and some Crosley auto radios used the same chassis and general component layout (Crosley model A-166 for one). Also Delco model 626 is almost identical with model A455, and Delco model 627 is close to A255. It’s well known that Crosley made some General Motors (Delco) radios in the 1930’s.